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Journal Articles Journal of Chemical Physics Year : 2013

Coherent States Formulation of Polymer Field Theory

Xingkun Man
  • Function : Author
Kris T. Delaney
  • Function : Author
Michael C. Villet
  • Function : Author
Glenn H. Fredrickson
  • Function : Author


We introduce a stable and efficient complex Langevin (CL) scheme to enable the first numerical simulations of the coherent-states (CS) formulation of polymer field theory. In contrast with Edwards' well known auxiliary-field (AF) framework, the CS formulation does not contain an embedded non-linear, non-local functional of the auxiliary fields, and the action of the field theory has a fully explicit, finite-order and semi-local polynomial character. In the context of a polymer solution model, we demonstrate that the new CS-CL dynamical scheme for sampling fluctuations in the space of coherent states yields results in good agreement with now-standard AF simulations. The formalism is potentially applicable to a broad range of polymer architectures and may facilitate systematic generation of trial actions for use in coarse-graining and numerical renormalization-group studies.

Dates and versions

cea-01054230 , version 1 (05-08-2014)



Xingkun Man, Kris T. Delaney, Michael C. Villet, Henri Orland, Glenn H. Fredrickson. Coherent States Formulation of Polymer Field Theory. Journal of Chemical Physics, 2013, 140 (2), pp.4905. ⟨10.1063/1.4860978⟩. ⟨cea-01054230⟩
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